18 citations · 65 across the 10 of their papers we have counts for
6 papers · 1 filter
A Frobenius-type theory for discrete systems
Daniel Reyes, Miguel A. Rodríguez, Piergiulio Tempesta
We develop an approach analogous to classical Frobenius theory for the analysis of singularities of ODEs in the case of discrete dynamical systems. Our methodology is based on the…
The open supersymmetric Haldane-Shastry spin chain and its associated motifs
Jose Carrasco, Federico Finkel, Artemio González-López +1
We study the open version of the su supersymmetric Haldane-Shastry spin chain associated to the extended root system. We first evaluate the model's partition function…
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Rutwig Campoamor-Stursberg, Miguel A. Rodríguez, Pavel Winternitz
Ordinary differential equations (ODEs) and ordinary difference systems (OSs) invariant under the actions of the Lie groups , and $\mathrm{SL…
A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities
Manuel F. Rañada, Miguel A. Rodríguez, Mariano Santander
The superintegrability of a rational harmonic oscillator (non-central harmonic oscillator with rational ratio of frequencies) with non-linear "centrifugal" terms is studied. In the…
Lie discrete symmetries of lattice equations
Decio Levi, Miguel A. Rodríguez
We extend two of the methods previously introduced to find discrete symmetries of differential equations to the case of difference and differential-difference equations. As an exam…
Quasi-exactly Solvable Lie Superalgebras of Differential Operators
Federico Finkel, Artemio González-López, Miguel A. Rodríguez
In this paper, we study Lie superalgebras of matrix-valued first-order differential operators on the complex line. We first completely classify all such superalgebras o…